Deformations of border bases

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چکیده

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Deformations of Border Bases

Border bases have recently attracted a lot of attention. Here we study the problem of generalizing one of the main tools of Gröbner basis theory, namely the flat deformation to the leading term ideal, to the border basis setting. After showing that the straightforward approach based on the deformation to the degree form ideal works only under additional hypotheses, we introduce border basis sch...

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ژورنال

عنوان ژورنال: Collectanea mathematica

سال: 2008

ISSN: 0010-0757

DOI: 10.1007/bf03191188